Basic Math Examples

$\frac{3 z}{6} = \frac{4}{5}$

Step 1

Cancel the common factor of $3$ and $6$ .

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Step 1.1

Factor $3$ out of $3 z$ .

$\frac{3 (z)}{6} = \frac{4}{5}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $6$ .

$\frac{3 z}{3 \cdot 2} = \frac{4}{5}$

Step 1.2.2

Cancel the common factor.

$\frac{3 z}{3 \cdot 2} = \frac{4}{5}$

Step 1.2.3

Rewrite the expression.

$\frac{z}{2} = \frac{4}{5}$

$\frac{z}{2} = \frac{4}{5}$

$\frac{z}{2} = \frac{4}{5}$

Step 2

Multiply both sides by $2$ .

$\frac{z}{2} \cdot 2 = \frac{4}{5} \cdot 2$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $2$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{z}{2} \cdot 2 = \frac{4}{5} \cdot 2$

Step 3.1.1.2

Rewrite the expression.

$z = \frac{4}{5} \cdot 2$

$z = \frac{4}{5} \cdot 2$

$z = \frac{4}{5} \cdot 2$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $\frac{4}{5} \cdot 2$ .

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Step 3.2.1.1

Combine $\frac{4}{5}$ and $2$ .

$z = \frac{4 \cdot 2}{5}$

Step 3.2.1.2

Multiply $4$ by $2$ .

$z = \frac{8}{5}$

$z = \frac{8}{5}$

$z = \frac{8}{5}$

$z = \frac{8}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$z = \frac{8}{5}$

Decimal Form:

$z = 1.6$

Mixed Number Form:

$z = 1 \frac{3}{5}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$